Q 1 – Area of the circle with radius 5 cm is equal to :
(a) 60 sq.cm
(b) 75.5 sq.cm
(c) 78.5 sq.cm
(d) 10.5 sq.cm
Q 2 – The area of the circle that can be inscribed in a square of side 8 cm is
(a) 36 π cm2
(b) 16 π cm2
(c) 12 π cm2
(d) 9 π cm2
Q 3 – The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.
(a) 142/7
(b) 152/7
(c) 132/7
(d) 122/7
Q 4 – Area of a sector of angle p (in degrees) of a circle with radius R is
(a) p/180 × 2πR
(b) p/180 × π R2
(c) p/360 × 2πR2
(d) p/720 × 2πR2
Q 5 – A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is
(a) 88 cm
(b) 44 cm
(c) 22 cm
(d) 11 cm
Q 6 – The area of the largest triangle that can be inscribed in a semicircle of radius r is
(a) r²
(b) 2r²
(c) r³
(d) 2r³
Q 7 – The radius of sphere is r cm. It is divided into two equal parts. The whole surface area of two parts will be
(a) 8πr² cm²
(b) 6πr² cm²
(c) 4πr² cm²
(d) 3πr² cm²
Q 8 – If the sum of the circumferences of two circles with radii R and R is equal to circumference of a circle of radius R, then
(a) R1 + R2 = R
(b) R1 + R2 > R
(c) R1 + R2 < R
(d) Can’t say
Q 9 – The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is
(a) 31.2 cm²
(b) 15 cm²
(c) 15.6 cm²
(d) 16.6 cm²
Q 10 – Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm? Why?
Q 11 – The circumference of a circle is 22 cm. Calculate the area of its quadrant (in cm2 ).
Q 12 – In Figure , find the area of the shaded region.
Q 13 – Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. [Use π = 22/7]
Q 14 – In Figure, a circle is inscribed in an equilateral triangle ABC of side 12 cm. Find the radius of inscribed circle and the area of the shaded region. (Use π = 3.14 and = 1.73)
Q 15 – In Figure, ABC is a triangle right angled at B, with AB = 14 cm and BC = 24 cm. With the vertices A, B and C as centres, arcs are drawn, each of radius 7 cm. Find the area of the shaded region.
Q 16 – In figure, a square of diagonal 8 cm is inscribed in a circle. Find the area of the shaded region.
Q 17 – Find the area of the flower bed (with semi-circular ends) shown in figure
Q 18 – In Figure, two concentric circles with centre O, have radii 21 cm and 42 cm. If ∠AOB = 60°, find the area of the shaded region. (Use π = 22/7]
Q 19 – Sides of a triangular field are 15 m, 16m and 17m with the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.
Q 20 – In figure, arcs have been drawn with radii 14 cm each and with centres P, Q and R. Find the area of the shaded region.
Q 21 – In figure arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10 cm, To intersect the sides BC, CA and AB at their respective mid-points D, E and F. Find the area of the shaded region, (use π = 3.14)
Q 22 – In Figure, ABCD is a square of side 14 cm. Semi-circles are drawn with each side of square as diameter. Find the area of the shaded region. [Use π = 22/7]
Q 23 – In Figure, APB and CCD are semi-circles of diameter 7 cm each, while ARC and a BSD are semi-circles of diameter 14 cm each. Find the perimeter of the shaded region. [Use π = 22/7 ]
Q 24 – Find the area of the shaded region in figure.
